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61446052641160 = 235113141109874209
BaseRepresentation
bin11011111100010100001100…
…01000111111100110001000
322001120012000001112212201101
431332022012020333212020
531023213003434004120
6334403532113031144
715641221315532425
oct1576120610774610
9261505001485641
1061446052641160
1118640140903310
126a847a68554b4
1328394514a4c95
14112600d302d4c
15718545c7e90a
hex37e28623f988

61446052641160 has 128 divisors (see below), whose sum is σ = 159484613299200. Its totient is φ = 21095847936000.

The previous prime is 61446052641143. The next prime is 61446052641179. The reversal of 61446052641160 is 6114625064416.

61446052641160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×614460526411602 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61446052641160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54377865 + ... + 55496344.

It is an arithmetic number, because the mean of its divisors is an integer number (1245973541400).

Almost surely, 261446052641160 is an apocalyptic number.

It is an amenable number.

61446052641160 is an abundant number, since it is smaller than the sum of its proper divisors (98038560658040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

61446052641160 is a wasteful number, since it uses less digits than its factorization.

61446052641160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109874303 (or 109874299 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 61446052641160 in words is "sixty-one trillion, four hundred forty-six billion, fifty-two million, six hundred forty-one thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 41 44 55 62 82 88 110 124 155 164 205 220 248 310 328 341 410 440 451 620 682 820 902 1240 1271 1364 1640 1705 1804 2255 2542 2728 3410 3608 4510 5084 6355 6820 9020 10168 12710 13640 13981 18040 25420 27962 50840 55924 69905 111848 139810 279620 559240 109874209 219748418 439496836 549371045 878993672 1098742090 1208616299 2197484180 2417232598 3406100479 4394968360 4504842569 4834465196 6043081495 6812200958 9009685138 9668930392 12086162990 13624401916 17030502395 18019370276 22524212845 24172325980 27248803832 34061004790 36038740552 37467105269 45048425690 48344651960 49553268259 68122009580 74934210538 90096851380 99106536518 136244019160 139650119639 149868421076 180193702760 187335526345 198213073036 247766341295 279300239278 299736842152 374671052690 396426146072 495532682590 558600478556 698250598195 749342105380 991065365180 1117200957112 1396501196390 1498684210760 1536151316029 1982130730360 2793002392780 3072302632058 5586004785560 6144605264116 7680756580145 12289210528232 15361513160290 30723026320580 61446052641160